Least Common Multiple of 828/902, 9884/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 828/902, 9884/946 quickly i.e. 2045988/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 828/902, 9884/946 is 2045988/22.

LCM(828/902, 9884/946) = 2045988/22

LCM of 828/902, 9884/946

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 828/902,9884/946

Given numbers are 828/902,9884/946

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 828,9884

Least Common Multiple of Numerators i.e. LCM of 828,9884 is 2045988.

GCF of Denominators means GCF of 902,946 as per the given fractions.

GCF of 902,946 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 828,9884

LCM of Fractions 828/902,9884/946 is 2045988/22

2 828, 9884
2 414, 4942
207, 2471

∴ So the LCM of the given numbers is 2 x 2 x 207 x 2471 = 2045988

Least Common Multiple of 828,9884 with GCF Formula

Least Common Multiple of 828,9884 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 828,9884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,9884) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(828,9884) x common factors =4 x 1 = 4

LCM(828,9884) = ( 828 × 9884 ) / 4

LCM(828,9884) = 8183952 / 4

LCM(828,9884) = 2045988


Lets's calculate GCF of 902,946

2 902, 946
11 451, 473
41, 43

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2045988/22

Therefore the LCM of Fractions 828/902,9884/946 is 2045988/22

Greatest Common Factor of 902,946 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,946 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 902,946 . The biggest common factor number is the GCF number.
So the greatest common factor 902,946 is 22.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 828/902, 9884/946

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 828/902, 9884/946?

Answer: LCM of Numerators as per given numbers 828/902, 9884/946 is

LCM of Numerators i.e. for 828,9884 is 2045988

GCF of denominators i.e. for 902,946 is 22.

Thus, LCM of Fractions is 2045988/22.Finally, LCM of Fractions for 828/902, 9884/946 is 2045988/22.